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ORCIDGrégoire Lecerf
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- affiliation: Versailles Saint-Quentin-en-Yvelines University, Mathematics Laboratory
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Journal Articles
- 2024
[j37]Joris van der Hoeven
, Grégoire Lecerf:
Univariate polynomial factorization over finite fields with large extension degree. Appl. Algebra Eng. Commun. Comput. 35(2): 121-149 (2024)- 2023
- [j36]Elena Berardini, Alain Couvreur, Grégoire Lecerf:
A Proof of the Brill-Noether Method from Scratch. ACM Commun. Comput. Algebra 57(4): 200-229 (2023) - [j35]Joris van der Hoeven, Grégoire Lecerf:
Amortized multi-point evaluation of multivariate polynomials. J. Complex. 74: 101693 (2023) - 2022
- [j34]Simon Abelard, Elena Berardini, Alain Couvreur, Grégoire Lecerf:
Computing Riemann-Roch spaces via Puiseux expansions. J. Complex. 73: 101666 (2022) - 2021
- [j33]Joris van der Hoeven, Grégoire Lecerf:
On sparse interpolation of rational functions and gcds. ACM Commun. Comput. Algebra 55(1): 1-12 (2021) - [j32]Joris van der Hoeven, Grégoire Lecerf:
On the Complexity Exponent of Polynomial System Solving. Found. Comput. Math. 21(1): 1-57 (2021) - [j31]Joris van der Hoeven, Grégoire Lecerf:
Fast computation of generic bivariate resultants. J. Complex. 62: 101499 (2021) - [j30]Joris van der Hoeven, Grégoire Lecerf:
Fast amortized multi-point evaluation. J. Complex. 67: 101574 (2021) - 2020
- [j29]Joris van der Hoeven, Grégoire Lecerf:
Ultimate complexity for numerical algorithms. ACM Commun. Comput. Algebra 54(1): 1-13 (2020) - [j28]Joris van der Hoeven, Grégoire Lecerf:
Fast multivariate multi-point evaluation revisited. J. Complex. 56 (2020) - [j27]Joris van der Hoeven, Grégoire Lecerf:
Directed evaluation. J. Complex. 60: 101498 (2020) - 2019
- [j26]Joris van der Hoeven, Grégoire Lecerf:
Accelerated tower arithmetic. J. Complex. 55 (2019) - [j25]Grégoire Lecerf:
On the complexity of the Lickteig-Roy subresultant algorithm. J. Symb. Comput. 92: 243-268 (2019) - 2018
- [j24]Joris van der Hoeven, Grégoire Lecerf:
Modular composition via factorization. J. Complex. 48: 36-68 (2018) - 2017
- [j23]David Harvey, Joris van der Hoeven, Grégoire Lecerf:
Faster Polynomial Multiplication over Finite Fields. J. ACM 63(6): 52:1-52:23 (2017) - 2016
- [j22]Bruno Grenet, Joris van der Hoeven, Grégoire Lecerf:
Deterministic root finding over finite fields using Graeffe transforms. Appl. Algebra Eng. Commun. Comput. 27(3): 237-257 (2016) - [j21]Grégoire Lecerf, Joelle Saadé:
A short survey on Kantorovich: like theorems for Newton's method. ACM Commun. Comput. Algebra 50(1): 1-11 (2016) - [j20]David Harvey, Joris van der Hoeven, Grégoire Lecerf:
Even faster integer multiplication. J. Complex. 36: 1-30 (2016) - [j19]Joris van der Hoeven, Grégoire Lecerf, Guillaume Quintin:
Modular SIMD arithmetic in Mathemagix. ACM Trans. Math. Softw. 43(1): 5:1-5:37 (2016) - 2015
- [j18]Bernd Bank, Marc Giusti, Joos Heintz, Grégoire Lecerf, Guillermo Matera, Pablo Solernó:
Degeneracy Loci and Polynomial Equation Solving. Found. Comput. Math. 15(1): 159-184 (2015) - 2014
- [j17]Joris van der Hoeven, Grégoire Lecerf:
Sparse Polynomial Interpolation in Practice. ACM Commun. Comput. Algebra 48(3/4): 187-191 (2014) - 2013
- [j16]Jérémy Berthomieu, Grégoire Lecerf, Guillaume Quintin:
Polynomial root finding over local rings and application to error correcting codes. Appl. Algebra Eng. Commun. Comput. 24(6): 413-443 (2013) - [j15]Joris van der Hoeven, Andrey Grozin, Massimiliano Gubinelli, Grégoire Lecerf, François Poulain, Denis Raux:
GNU TEXmacs: a scientific editing platform. ACM Commun. Comput. Algebra 47(1/2): 59-61 (2013) - [j14]Joris van der Hoeven, Grégoire Lecerf:
On the bit-complexity of sparse polynomial and series multiplication. J. Symb. Comput. 50: 227-254 (2013) - 2012
- [j13]Jérémy Berthomieu, Grégoire Lecerf:
Reduction of bivariate polynomials from convex-dense to dense, with application to factorizations. Math. Comput. 81(279): 1799-1821 (2012) - 2011
- [j12]Joris van der Hoeven, Grégoire Lecerf, Bernard Mourrain, Philippe Trébuchet, Jérémy Berthomieu, Daouda Niang Diatta, Angelos Mantzaflaris:
Mathemagix: the quest of modularity and efficiency for symbolic and certified numeric computation? ACM Commun. Comput. Algebra 45(3/4): 186-188 (2011) - 2010
- [j11]Grégoire Lecerf:
New recombination algorithms for bivariate polynomial factorization based on Hensel lifting. Appl. Algebra Eng. Commun. Comput. 21(2): 151-176 (2010) - 2008
- [j10]Grégoire Lecerf:
Fast separable factorization and applications. Appl. Algebra Eng. Commun. Comput. 19(2): 135-160 (2008) - 2007
- [j9]Marc Giusti, Grégoire Lecerf, Bruno Salvy, Jean-Claude Yakoubsohn:
On Location and Approximation of Clusters of Zeros: Case of Embedding Dimension One. Found. Comput. Math. 7(1): 1-58 (2007) - [j8]Guillaume Chèze, Grégoire Lecerf:
Lifting and recombination techniques for absolute factorization. J. Complex. 23(3): 380-420 (2007) - [j7]Grégoire Lecerf:
Improved dense multivariate polynomial factorization algorithms. J. Symb. Comput. 42(4): 477-494 (2007) - 2006
- [j6]Grégoire Lecerf:
Sharp precision in Hensel lifting for bivariate polynomial factorization. Math. Comput. 75(254): 921-933 (2006) - 2005
- [j5]Marc Giusti, Grégoire Lecerf, Bruno Salvy, Jean-Claude Yakoubsohn:
On Location and Approximation of Clusters of Zeros of Analytic Functions. Found. Comput. Math. 5(3): 257-311 (2005) - 2003
- [j4]Grégoire Lecerf:
Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers. J. Complex. 19(4): 564-596 (2003) - 2002
- [j3]Grégoire Lecerf:
Quadratic Newton Iteration for Systems with Multiplicity. Found. Comput. Math. 2(3): 247-293 (2002) - 2001
- [j2]Marc Giusti, Grégoire Lecerf, Bruno Salvy:
A Gröbner Free Alternative for Polynomial System Solving. J. Complex. 17(1): 154-211 (2001) - 2000
- [j1]Marc Giusti, Klemens Hägele, Grégoire Lecerf, Joël Marchand, Bruno Salvy:
The Projective Noether Maple Package: Computing the Dimension of a Projective Variety. J. Symb. Comput. 30(3): 291-307 (2000)
Conference and Workshop Papers
- 2021
- [c15]Joris van der Hoeven, Grégoire Lecerf:
Amortized Bivariate Multi-point Evaluation. ISSAC 2021: 179-185 - 2020
- [c14]Simon Abelard, Alain Couvreur, Grégoire Lecerf:
Sub-quadratic time for riemann-roch spaces: case of smooth divisors over nodal plane projective curves. ISSAC 2020: 14-21 - 2017
- [c13]Joris van der Hoeven, Grégoire Lecerf:
Composition Modulo Powers of Polynomials. ISSAC 2017: 445-452 - [c12]Joris van der Hoeven, Robin Larrieu, Grégoire Lecerf:
Implementing Fast Carryless Multiplication. MACIS 2017: 121-136 - 2016
- [c11]Joris van der Hoeven, Grégoire Lecerf:
Evaluating Straight-Line Programs over Balls. ARITH 2016: 142-149 - [c10]David Harvey, Joris van der Hoeven, Grégoire Lecerf:
Fast Polynomial Multiplication over F260. ISSAC 2016: 255-262 - 2015
- [c9]Joris van der Hoeven, Grégoire Lecerf:
Faster FFTs in Medium Precision. ARITH 2015: 75-82 - [c8]Bruno Grenet, Joris van der Hoeven, Grégoire Lecerf:
Randomized Root Finding over Finite FFT-fields using Tangent Graeffe Transforms. ISSAC 2015: 197-204 - 2013
- [c7]Joris van der Hoeven, Grégoire Lecerf:
Interfacing mathemagix with C++. ISSAC 2013: 363-370 - 2012
- [c6]Joris van der Hoeven, Grégoire Lecerf:
On the complexity of multivariate blockwise polynomial multiplication. ISSAC 2012: 211-218 - 2010
- [c5]Grégoire Lecerf:
Mathemagix: Towards Large Scale Programming for Symbolic and Certified Numeric Computations. ICMS 2010: 329-332 - 2007
- [c4]Alin Bostan, Frédéric Chyzak, Bruno Salvy, Grégoire Lecerf, Éric Schost:
Differential equations for algebraic functions. ISSAC 2007: 25-32 - 2004
- [c3]Alin Bostan, Grégoire Lecerf, Bruno Salvy, Éric Schost, B. Wiebelt:
Complexity issues in bivariate polynomial factorization. ISSAC 2004: 42-49 - 2003
- [c2]Alin Bostan, Grégoire Lecerf, Éric Schost:
Tellegen's principle into practice. ISSAC 2003: 37-44 - 2000
- [c1]Grégoire Lecerf:
Computing an equidimensional decomposition of an algebraic variety by means of geometric resolutions. ISSAC 2000: 209-216
Parts in Books or Collections
- 2013
- [p1]Erich L. Kaltofen, Grégoire Lecerf:
Factorization of multivariate polynomials. Handbook of Finite Fields 2013: 382-392
Informal and Other Publications
- 2023
- [i8]Joris van der Hoeven, Grégoire Lecerf:
Fast interpolation of sparse multivariate polynomials. CoRR abs/2312.17664 (2023) - 2022
- [i7]Elena Berardini, Alain Couvreur, Grégoire Lecerf:
A proof of the Brill-Noether method from scratch. CoRR abs/2208.12725 (2022) - 2014
- [i6]David Harvey, Joris van der Hoeven, Grégoire Lecerf:
Even faster integer multiplication. CoRR abs/1407.3360 (2014) - [i5]David Harvey, Joris van der Hoeven, Grégoire Lecerf:
Faster polynomial multiplication over finite fields. CoRR abs/1407.3361 (2014) - [i4]Joris van der Hoeven, Grégoire Lecerf, Guillaume Quintin:
Modular SIMD arithmetic in Mathemagix. CoRR abs/1407.3383 (2014) - 2013
- [i3]Bernd Bank, Marc Giusti, Joos Heintz, Grégoire Lecerf, Guillermo Matera, Pablo Solernó:
Degeneracy loci and polynomial equation solving. CoRR abs/1306.3390 (2013) - 2009
- [i2]Joris van der Hoeven, Grégoire Lecerf:
On the bit-complexity of sparse polynomial multiplication. CoRR abs/0901.4323 (2009) - 2007
- [i1]Alin Bostan, Frédéric Chyzak, Bruno Salvy, Grégoire Lecerf, Éric Schost:
Differential Equations for Algebraic Functions. CoRR abs/cs/0703121 (2007)
Coauthor Index
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